Dynamical vertex mass generation and chiral symmetry breaking on the light-front

Abstract

Naively, helicity flip amplitudes for fermions seem to vanish in the chiral limit of light-front QCD, which would make it nearly impossible to generate a small pion mass in this framework. Using a simple model, it is illustrated how a large helicity flip amplitude is generated dynamically by summing over an infinite number of Fock space components. While the kinetic mass is basically generated by a zero-mode induced counter-term, the vertex mass is generated dynamically by infinitesimally small, but nonzero, momenta. Implications for the renormalization of light-front Hamiltonians for fermions are discussed.

References in corpus (4)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonforward Parton Distributions
• Pauli--Villars as a Nonperturbative Ultraviolet Regulator in Discretized Light-Cone Quantization
• Structure of Vacuum Condensates

Cited by in corpus (16)

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• Frame dependence of form factors in light-front dynamics
• Basis light-front quantization approach to $\Lambda$ and ${\Lambda }_c$ and their isospin triplet baryons
• Wilson Fermions on a Transverse Lattice
• Dynamical Chiral Symmetry Breaking on the Light Front I. DLCQ Approach
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• Spontaneously broken quark helicity symmetry
• Chiral Symmetry in Light-front QCD
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects